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Finding the Fourth Proportional to 12,249.56, 16,904.46 and 7,214

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Solution

The fourth proportional to 12,249.56, 16,904.46 and 7,214 is: 9,955.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,249.56 : 16,904.46 = 7,214 : x
  2. Step 2: Convert to fraction form
    12,249.56/16,904.46 = 7,214/x
  3. Step 3: Cross multiply
    12,249.56x = 16,904.46 × 7,214
  4. Step 4: Simplify right side
    12,249.56x = 121,948,774.44
  5. Step 5: Solve for x
    x = 121,948,774.44/12,249.56
  6. Step 6: Final answer
    x = 9,955.36

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.